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Finding the Third Proportional to 965,223 and 1,457,725

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Solution

The third proportional to 965,223 and 1,457,725 is: 2,201,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,223 : 1,457,725 = 1,457,725 : x
  2. Step 2: Convert to fraction form
    965,223/1,457,725 = 1,457,725/x
  3. Step 3: Cross multiply
    965,223x = 1,457,725 × 1,457,725
  4. Step 4: Simplify right side
    965,223x = 2,124,962,175,625
  5. Step 5: Solve for x
    x = 2,124,962,175,625/965,223
  6. Step 6: Final answer
    x = 2,201,524.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.